What is the Greatest Common Factor of 25258 and 25273?

Greatest common factor (GCF) of 25258 and 25273 is 1.

GCF(25258,25273) = 1

We will now calculate the prime factors of 25258 and 25273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25258 and 25273.

How to find the GCF of 25258 and 25273?

We will first find the prime factorization of 25258 and 25273. After we will calculate the factors of 25258 and 25273 and find the biggest common factor number .

Step-1: Prime Factorization of 25258

Prime factors of 25258 are 2, 73, 173. Prime factorization of 25258 in exponential form is:

25258 = 2¹ × 73¹ × 173¹

Step-2: Prime Factorization of 25273

Prime factors of 25273 are 127, 199. Prime factorization of 25273 in exponential form is:

25273 = 127¹ × 199¹

Step-3: Factors of 25258

List of positive integer factors of 25258 that divides 25258 without a remainder.

1, 2, 73, 146, 173, 346, 12629

Step-4: Factors of 25273

List of positive integer factors of 25273 that divides 25258 without a remainder.

1, 127, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25258 and 25273. The biggest common factor number is the GCF number.
So the greatest common factor 25258 and 25273 is 1.

Also check out the Least Common Multiple of 25258 and 25273